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2 years ago

What are the values of x and y in PQRS? What are PR and SQ?

Mathematics

1 answer:

mamaluj [8]2 years ago

4 0

Step-by-step explanation:

sol;

x+1=y...(1)

3y-7=2x....(2)

or, 3(x+1)-72x [from (1)]

or, 3x+3-7=2x

or, 3x-2x=7-3

x=4

now,

putting the value of x in (1)

y=x+1

=4+1

PR and SQ are the diagonal of PQRS.

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The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).

Zina [86]

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula $\frac{x_1+x_2}{2} = Xmp$ $\frac{y_1+y_2}{2} =Ymp$

$\frac{6+x_2}{2} = 1$ $\frac{-2+y_2}{2} =2$

multiply each by 2 to simplify

$\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2$ $\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4$ take the equations and simplify

6+ $x_{2}$ = 2 -2+ $y_{2}$ = 4 =

-6 -6 +2 +2

$x_{2}$ = -4 $y_{2}$ = 6

To check use the Midpoint formula

$\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)$

8 0

2 years ago

Four friends are out for a walk at night and come to an old bridge. it isn’t safe to cross the bridge without a flashlight, and

Anna71 [15]

First the person with a flashlight and one of his friends cross the bridge. After that same person with a flashlight comes back and leads another friend to the other side. Finally he comes back again and leads the last of them.
Number of times that he will have to cross the bridge is 5 ( five ).

8 0

3 years ago

PLEASE THIS WAS DUE 2 WEEKS AGO I NEED HELP

Agata [3.3K]

Answer: C

Step-by-step explanation:

4 0

2 years ago

Which of the following describes the graph of 2x + 4y < 16?

kherson [118]

<h3>Answer: A) Dashed line, shaded below</h3>

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Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

6 0

2 years ago

Change 04:35 to 12 hours clock time

mote1985 [20]

Answer:

4:35 am

Step-by-step explanation:

change 04:35 to 12 hours clock time

3 0

1 year ago